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Finding the Fourth Proportional to 66,956.78, 100,431.04 and 27,512.89

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Solution

The fourth proportional to 66,956.78, 100,431.04 and 27,512.89 is: 41,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,956.78 : 100,431.04 = 27,512.89 : x
  2. Step 2: Convert to fraction form
    66,956.78/100,431.04 = 27,512.89/x
  3. Step 3: Cross multiply
    66,956.78x = 100,431.04 × 27,512.89
  4. Step 4: Simplify right side
    66,956.78x = 2,763,148,156.11
  5. Step 5: Solve for x
    x = 2,763,148,156.11/66,956.78
  6. Step 6: Final answer
    x = 41,267.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.